Solve (11/12)^3*4*1/12

$$( \frac { 11 } { 12 } ) ^ { 3 } \times 4 \times \frac { 1 } { 12 }$$

Evaluate

$$\frac{1331}{5184}\approx 0.256751543$$

Solution Steps

Calculate \frac{11}{12} to the power of 3 and get \frac{1331}{1728}.

$$\frac{1331}{1728}\times 4\times \frac{1}{12}$$

Express \frac{1331}{1728}\times 4 as a single fraction.

$$\frac{1331\times 4}{1728}\times \frac{1}{12}$$

Multiply 1331 and 4 to get 5324.

$$\frac{5324}{1728}\times \frac{1}{12}$$

Reduce the fraction \frac{5324}{1728} to lowest terms by extracting and canceling out 4.

$$\frac{1331}{432}\times \frac{1}{12}$$

Multiply \frac{1331}{432} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1331\times 1}{432\times 12}$$

Do the multiplications in the fraction \frac{1331\times 1}{432\times 12}.

$$\frac{1331}{5184}$$

Factor

$$\frac{11 ^ {3}}{2 ^ {6} \cdot 3 ^ {4}} = 0.25675154320987653$$